document.write( "Question 625634: Find the least common multiple of x^3 - x^2 - x -1 and x^2 - 1. Write the answer in factored form. \n" ); document.write( "
Algebra.Com's Answer #393671 by Edwin McCravy(20060)\"\" \"About 
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Find the least common multiple of x³ - x² - x + 1 and x² - 1. Write the answer in factored form.
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document.write( "Factor x³ - x² - x + 1 \r\n" );
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document.write( "Factor x² out of the first two terms:\r\n" );
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document.write( "x²(x - 1) - x + 1\r\n" );
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document.write( "Factor -1 out of the last two terms:\r\n" );
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document.write( "x²(x - 1) - 1(x - 1)\r\n" );
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document.write( "Factor (x - 1) out\r\n" );
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document.write( "(x - 1)(x² - 1)\r\n" );
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document.write( "Factor (x² - 1) as the difference of squares:\r\n" );
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document.write( "(x - 1)(x - 1)(x + 1)\r\n" );
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document.write( "---------------------\r\n" );
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document.write( "Factor x² - 1 as the difference of squares\r\n" );
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document.write( "(x - 1)(x + 1)\r\n" );
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document.write( "Both those factors are contained in (x - 1)(x - 1)(x + 1)\r\n" );
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document.write( "therefore (x - 1)(x - 1)(x + 1) is the least common multiple, and\r\n" );
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document.write( "it can be written as (x - 1)²(x + 1)\r\n" );
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document.write( "Edwin
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